MathAnalysisCalculusLimits

One-sided limits and the non-existence of a limit

Theory

An existence of a limit

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Suppose g(x)={9x⩾−40x<−4.g(x) = \begin{cases} 9\quad& x \geqslant -4 \\ 0 \quad& x < -4.\end{cases} What is a limit lim⁡x→−4g(x)\lim\limits_{x\to -4} g(x) equal to?

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